In this work, we explored the possibility to optimize
the frequency range where a JJ chain can work as
a superinductor, by a careful choice of the spatial
profile of the junction parameters. In the case when
junction areas are varied, the best result is still
obtained for a spatially homogeneous chain, as in
Ref. [1]}. Another way to introduce
a spatial variation is to represent the junctions by
SQUIDs whose loop areas are different. Then, by applying
a magnetic field, one can vary the junction inductance
independently from its capacitance. We show that this
strategy can indeed give an improvement with respect
to the homogeneous case, if the most inductive junctions
are placed near the ends of the chain, and the least
inductive ones in the middle. Still, we find that this
improvement becomes less important for longer chains.
